*1-ducat*coins in front of them and there is a purse full of similar coins in the middle of the table.

Alessandro turns to Bruno and says:”If I add the

*ducats*in the purse to my money I will have twice as many

*ducats*as you.” Then Bruno turns to Cesare and says:”If I add the coins in the purse to my money, I will have three times as many

*ducats*as you.” Finally, Cesare says to Alessandro:”If I add the

*ducats*in the purse to those I already have, I will have four times as much money as you.”

How many

*ducats*does each man have and how many are in the purse? Assume the smallest integer solution.

As in the previous question, Fibonacci did not use any algebra to solve this question. For students who feel that algebra is some kind of mental torture, try following a verbal algorithm nearly a page long!

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